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Finding the Fourth Proportional to 3,384.65, 4,660.44 and 2,962.64

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Solution

The fourth proportional to 3,384.65, 4,660.44 and 2,962.64 is: 4,079.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.65 : 4,660.44 = 2,962.64 : x
  2. Step 2: Convert to fraction form
    3,384.65/4,660.44 = 2,962.64/x
  3. Step 3: Cross multiply
    3,384.65x = 4,660.44 × 2,962.64
  4. Step 4: Simplify right side
    3,384.65x = 13,807,206.50
  5. Step 5: Solve for x
    x = 13,807,206.50/3,384.65
  6. Step 6: Final answer
    x = 4,079.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.